Fix parsing when specifying both induced character and conductor

lmfdb/characters/main.py

@@ -8,6 +8,7 @@
     TextBox, CountBox, parse_bool, parse_ints, search_wrap, raw_typeset_poly,
     StatsDisplay, totaler, proportioners, comma, flash_warning, Downloader)
 from lmfdb.utils.interesting import interesting_knowls
+from lmfdb.utils.search_parsing import parse_range3
 from lmfdb.utils.search_columns import SearchColumns, MathCol, LinkCol, CheckCol, ProcessedCol, MultiProcessedCol
 from lmfdb.characters.utils import url_character
 from lmfdb.characters.TinyConrey import ConreyCharacter
@@ -176,15 +177,26 @@ def common_parse(info, query):
             primitive_orbit = class_to_int(parts_of_label[1])+1
             if db.char_dirichlet.count({'modulus':primitive_modulus,'is_primitive':True,'orbit':primitive_orbit}) == 0:
                 raise ValueError("Primitive character orbit not found")
-            if 'conductor' in query and query['conductor'] != primitive_modulus:
+            def incompatible(query):
+                cond = query.get('conductor')
+                if cond is None:
+                    return False
+                if isinstance(cond, int):
+                    return cond != primitive_modulus
+                opts = parse_range3(info['conductor'], lower_bound=1, upper_bound=ORBIT_MAX_MOD)
+                for opt in opts:
+                    if (isinstance(opt, int) and opt == primitive_modulus or
+                        not isinstance(opt, int) and opt[0] <= primitive_modulus <= opt[1]):
+                        return False
+                return True
+            if incompatible(query):
                 query["primitive_orbit"] = 0
             else:
                 query["conductor"] = primitive_modulus
                 query["primitive_orbit"] = primitive_orbit
         except ValueError:
             flash_error("%s is not the label of a primitive character in the database", info['inducing'])
             raise ValueError
-            return redirect(url_for(".render_DirichletNavigation"))
     if 'parity' in info:
         parity = info['parity']
         if parity == 'even':